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Finding the Third Proportional to 213,784 and 461,828

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Solution

The third proportional to 213,784 and 461,828 is: 997,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,784 : 461,828 = 461,828 : x
  2. Step 2: Convert to fraction form
    213,784/461,828 = 461,828/x
  3. Step 3: Cross multiply
    213,784x = 461,828 × 461,828
  4. Step 4: Simplify right side
    213,784x = 213,285,101,584
  5. Step 5: Solve for x
    x = 213,285,101,584/213,784
  6. Step 6: Final answer
    x = 997,666.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.